One-dimensional nil-DAHA and Whittaker functions. II.

DOI10.1007/s00031-013-9210-4zbMath1320.20004OpenAlexW4234533918MaRDI QIDQ1949287

Daniel Orr, Ivan V. Cherednik

Publication date: 6 May 2013

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://cdr.lib.unc.edu/downloads/zc77t106d

zbMATH Keywords

induced representationsWhittaker functionsdouble affine Hecke algebrasnonsymmetric Macdonald polynomialsnil-DAHAscore subalgebras

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Hecke algebras and their representations (20C08) Grassmannians, Schubert varieties, flag manifolds (14M15) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items

Generalized Weyl modules, alcove paths and Macdonald polynomials, A path model for Whittaker vectors, One-dimensional nil-DAHA and Whittaker functions. I., Generalized Weyl modules for twisted current algebras, Rogers-Ramanujan type identities and nil-DAHA, Nonsymmetric Macdonald polynomials and PBW filtration: towards the proof of the Cherednik-Orr conjecture, PBW degeneration: algebra, geometry, and combinatorics, Dual polar graphs, a nil-DAHA of rank one, and non-symmetric dual \(q\)-Krawtchouk polynomials, Dual polar graphs, a nil-DAHA of rank one, and non-symmetric dual \(q\)-Krawtchouk polynomials, Extremal part of the PBW-filtration and nonsymmetric Macdonald polynomials, Representation theoretic realization of non-symmetric Macdonald polynomials at infinity, Nonsymmetric difference Whittaker functions

Cites Work

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• Spherical and Whittaker functions via DAHA. II.
• Difference Fourier transforms for nonreduced root systems
• One-dimensional nil-DAHA and Whittaker functions. I.
• ON THE SPECTRAL DECOMPOSITION OF AFFINE HECKE ALGEBRAS